109826640 has 360 divisors, whose sum is σ = 469711008. Its totient is φ = 22740480.

The previous prime is 109826627. The next prime is 109826641. The reversal of 109826640 is 46628901.

109826640 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109826595 and 109826604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109826641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387939 + ... + 388221.

Almost surely, 2^109826640 is an apocalyptic number.

109826640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234855504).

109826640 is an abundant number, since it is smaller than the sum of its proper divisors (359884368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109826640 is a wasteful number, since it uses less digits than its factorization.

109826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109826640 is about 10479.8206091517. The cubic root of 109826640 is about 478.8901441026.

The spelling of 109826640 in words is "one hundred nine million, eight hundred twenty-six thousand, six hundred forty".